13) can two nonzero perpendicular vectors be added together so their sum is zero? explain.

sum of two perpendicular nonzero vectors can not be ZERO

Explanation:

As we know by the sum or addition of two vectors is given by

here we know that

a and b are the magnitude of two vectors

= angle between two vectors

so as we know that here two vectors are perpendicular to each other

so we will have

now since the is sum of two positive non zero numbers so it can not be zero

so sum of two perpendicular nonzero vectors can not be ZERO